Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/26481
Title: Horseshoes, homoclinic connections and global chaos in current-mode controlled DC/DC converters
Authors: Dai, D
Ma, Y
Tse, CK 
Issue Date: 2005
Source: Proceedings - IEEE International Symposium on Circuits and Systems, 2005, 1464876, p. 1469-1472 How to cite?
Abstract: In this paper, chaos in a current-mode controlled boost converter is studied. Firstly, the existence of chaos is proven theoretically in this system. The proof consists of showing that the dynamics of the system is semiconjugate to that of a shift map, which implies positive entropy of the system and hence chaotic behavior. The essential tool is the horseshoe hypotheses proposed by Kennedy and Yorke, which will be reviewed prior to the discussion of the main finding. Then, the existence of chaos is illustrated in the light of homoclinic connection. Furthermore, global chaos resulting from homoclinic intersection of stable and unstable manifolds are illustrated numerically.
Description: IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005, Kobe, 23-26 May 2005
URI: http://hdl.handle.net/10397/26481
ISSN: 0271-4310
DOI: 10.1109/ISCAS.2005.1464876
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